9781334014949 - the elements of non-euclidean plane geometry and trigonometry (classic reprint) von carslaw, horatio scott (3 Ergebnisse)
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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of Non-Euclidean Geometry, exploring the revolutionary ideas that challenged the long-held assumptions of traditional geometry. The author meticulously traces the historical evolution of these groundbreaking concepts, starting with the ancient…Greek mathematician Euclid and his famous Parallel Postulate. Through a careful examination of the work of mathematicians like Saccheri, Legendre, and Gauss, the book reveals the persistent efforts to prove or disprove Euclidââ â¢s postulate, ultimately leading to the discovery of alternative geometries. The book delves into the groundbreaking work of Bolyai and Lobachevsky, who independently developed the first consistent Non-Euclidean Geometry, known as Hyperbolic Geometry. The author systematically explains the fundamental principles of this geometry, demonstrating how it deviates from Euclidââ â¢s system. He further explores Elliptic Geometry, another Non-Euclidean system, and provides a detailed analysis of its key features and properties. The author concludes by demonstrating the logical consistency of Non-Euclidean Geometries, proving that they are just as valid as the Euclidean system. He further explores the implications of these discoveries, revealing that the truth of Euclidean Geometry is not absolute and depends on the specific assumptions made about space. This book offers a comprehensive and accessible exploration of Non-Euclidean Geometry, providing invaluable insights into the nature of geometry and the evolution of mathematical thought. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
